Mach to Meters Per Second
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How to convert

1 mach (M) = 340.3 meter per second (m/s). Mach (M) is a unit of Speed used in Metric system. Meter Per Second (m/s) is a unit of Speed used in Metric system.

Mach number

Definition of Mach

Mach, commonly denoted M or Ma, is a dimensionless quantity in fluid dynamics representing the ratio of flow velocity past a boundary to the local speed of sound. It is named after the Austrian physicist and philosopher Ernst Mach, who studied gas dynamics and shock waves. Mach number is used to classify the flow regimes based on the effects of compressibility and shock waves on the flow.

How to Convert Mach

To convert mach to other units of speed, we need to multiply by the local speed of sound in the medium, which depends on the temperature and pressure of the gas. For example, to convert mach to meters per second, we need to multiply by the speed of sound in air at sea level, which is about 340 m/s. To convert mach to kilometers per hour, we need to multiply by the speed of sound in air at sea level and by 3.6, since there are 3.6 seconds in one hour.

Here are some examples of how to convert mach to other units of length in the US Standard system and the SI system:

• To convert 1 M to meters per second (m/s), we multiply by 340: 1 M x 340 = 340 m/s
• To convert 2 M to kilometers per hour (km/h), we multiply by 340 and by 3.6: 2 M x 340 x 3.6 = 2448 km/h
• To convert 3 M to miles per hour (mph), we multiply by 340 and by 2.2369362920544, since there are 2.2369362920544 miles in one kilometer: 3 M x 340 x 2.2369362920544 = 2285.714285714 mph
• To convert 4 M to feet per second (fps), we multiply by 340 and by 3.2808398950131, since there are 3.2808398950131 feet in one meter: 4 M x 340 x 3.2808398950131 = 4465.306122449 fps
• To convert 5 M to knots (kn), we multiply by 340 and by 1.9438444924406, since there are 1.9438444924406 nautical miles in one kilometer: 5 M x 340 x 1.9438444924406 = 3316.326530612 kn
• To convert 6 M to centimeters per second (cm/s), we multiply by 340 and by 100, since there are 100 centimeters in one meter: 6 M x 340 x 100 = 204000 cm/s

Where Mach Is Used

Mach is used in various fields of science and technology where the speed and direction of movement of objects or phenomena are measured or applied in relation to the speed of sound in the medium. For example:

• In aerodynamics and aeronautics, mach is used to measure the speed and performance of aircraft, rockets, missiles, and other flying vehicles, as well as the effects of air resistance, drag, lift, and thrust on them.
• In acoustics and sound engineering, mach is used to measure the intensity and frequency of sound waves, as well as the effects of reflection, refraction, diffraction, interference, and Doppler shift on them.
• In meteorology and climatology, mach is used to measure the speed and direction of wind, storms, hurricanes, tornadoes, and other weather phenomena, as well as the effects of temperature, pressure, humidity, and density on them.

History of Mach

The concept of mach number was first introduced by Swiss engineer Jakob Ackeret in his doctoral thesis in 1929. He proposed it as a convenient way to express the ratio of flow velocity to speed of sound in gas dynamics problems. He also named it after Ernst Mach, who had conducted experiments on supersonic projectiles and shock waves in the late nineteenth century.

The term mach number was later popularized by German-American engineer Theodore von Karman, who used it extensively in his research on aerodynamics and supersonic flight in the early twentieth century. He also established the first supersonic wind tunnel at Caltech in 1939.

The first human-made object to break the sound barrier was a rocket-powered plane called Bell X-1 piloted by Chuck Yeager in October 1947. He achieved a speed of about Mach 1.06 at an altitude of 13,000 meters.
The first human to travel faster than sound was Soviet cosmonaut Yuri Gagarin, who orbited the Earth at a speed of about Mach 25 in April 1961.
The fastest manned aircraft ever flown was the North American X-15, which reached a speed of about Mach 6.7 in October 1967.

The fastest unmanned aircraft ever flown was the NASA X-43A, which reached a speed of about Mach 9.6 in November 2004.

Example Conversions of Mach to Other Units

Here are some examples of how to convert mach to other units of speed, using the conversion factors given above:

• To convert 1 M to meters per second, we multiply by 340: 1 M x 340 = 340 m/s
• To convert 2 M to kilometers per hour, we multiply by 340 and by 3.6: 2 M x 340 x 3.6 = 2448 km/h
• To convert 3 M to miles per hour, we multiply by 340 and by 2.2369362920544: 3 M x 340 x 2.2369362920544 = 2285.714285714 mph
• To convert 4 M to feet per second, we multiply by 340 and by 3.2808398950131: 4 M x 340 x 3.2808398950131 = 4465.306122449 fps
• To convert 5 M to knots, we multiply by 340 and by 1.9438444924406: 5 M x 340 x 1.9438444924406 = 3316.326530612 kn
• To convert 6 M to centimeters per second, we multiply by 340 and by 100: 6 M x 340 x 100 = 204000 cm/s
• To convert 7 M to millimeters per minute, we multiply by 340 and by 1000, since there are 1000 millimeters in one meter, and multiply by 60, since there are 60 minutes in one hour: 7 M x 340 x 1000 x 60 = 142800000 mm/min

Meters per second: A unit of speed

Meters per second (m/s) is a unit of speed or velocity in the International System of Units (SI). It measures how fast an object is moving by calculating the distance traveled in meters divided by the time taken in seconds. For example, if a car travels 100 meters in 5 seconds, its speed is 20 m/s.

How to convert meters per second

Meters per second can be converted to other units of speed or velocity by using simple conversion factors. Here are some common units and their conversion factors:

• Kilometers per hour (km/h): To convert from m/s to km/h, multiply by 3.6. To convert from km/h to m/s, divide by 3.6. For example, 20 m/s is equal to 72 km/h, and 50 km/h is equal to 13.89 m/s.
• Miles per hour (mph): To convert from m/s to mph, multiply by 2.2369. To convert from mph to m/s, divide by 2.2369. For example, 20 m/s is equal to 44.74 mph, and 30 mph is equal to 13.41 m/s.
• Knots (kn): To convert from m/s to kn, multiply by 1.9438. To convert from kn to m/s, divide by 1.9438. For example, 20 m/s is equal to 38.88 kn, and 15 kn is equal to 7.72 m/s.
• Feet per second (ft/s): To convert from m/s to ft/s, multiply by 3.2808. To convert from ft/s to m/s, divide by 3.2808. For example, 20 m/s is equal to 65.62 ft/s, and 40 ft/s is equal to 12.19 m/s.

Where meters per second are used

Meters per second are widely used in science and engineering to measure the speed or velocity of various phenomena, such as sound waves, light waves, wind speed, fluid flow, projectile motion, etc.

Meters per second are also used in some countries as the official unit of speed or velocity for road traffic signs and regulations. For example, in Canada, the maximum speed limit on highways is usually 100 km/h, which is equivalent to 27.78 m/s.

Meters per second are also used in sports and athletics to measure the performance of athletes, such as sprinters, swimmers, cyclists, etc.

Definition of meters per second

According to the SI definition, one meter per second is the speed of a body that covers a distance of one meter in a time of one second.

Mathematically, it can be expressed as:

v = s / t

where v is the speed or velocity in meters per second, s is the distance traveled in meters, and t is the time taken in seconds.

History of meters per second

The concept of speed or velocity has been studied since ancient times by philosophers and scientists such as Aristotle, Galileo, Newton, etc.

The meter was originally defined in 1793 by the French Academy of Sciences as one ten-millionth of the distance from the equator to the North Pole along a meridian through Paris.

The second was originally defined in terms of the Earth’s rotation as one eighty-six thousand four hundredth of a mean solar day.

The combination of these two units resulted in the meter per second as a unit of speed or velocity.

The meter per second was officially adopted as part of the SI system in 1960.

Example conversions of meters per second to other units

Here are some examples of converting meters per second to other units of speed or velocity:

• 10 m/s = 36 km/h = 22.37 mph = 19.44 kn = 32.81 ft/s
• 5 m/s = 18 km/h = 11.18 mph = 9.72 kn = 16.4 ft/s
• 15 m/s = 54 km/h = 33.55 mph = 29.17 kn = 49.21 ft/s
• 25 m/s = 90 km/h = 55.92 mph = 48.61 kn = 82.02 ft/s
• 50 m/s = 180 km/h = 111.85 mph = 97.22 kn = 164.04 ft/s
• 100 m/s = 360 km/h = 223.69 mph = 194.39 kn = 328.08 ft/s
• 200 m/s = 720 km/h = 447.39 mph = 388.79 kn = 656.17 ft/s